Reduction formulas for Kampé de Fériet functions associated with certain classes of incomplete Lipschitz-Hankel type integrals of cylindrical functions

DOI10.1016/0016-0032(92)90105-PzbMath0737.33002MaRDI QIDQ1812974

Hari M. Srivastava, Allen R. Miller

Publication date: 25 June 1992

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

zbMATH Keywords

cylindrical functionsincomplete Lipschitz-Hankel integralsLerch's theorem

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (7)

Some multiple series identities ⋮ Sonine-Gegenbauer-type integrals ⋮ Unnamed Item ⋮ Some Sonine-Gegenbauer type integrals ⋮ Incomplete Lipschitz-Hankel integrals of Struve functions ⋮ Further reducible cases of certain Kampé de Fériet functions associated with incomplete integrals of cylindrical functions ⋮ Incomplete Lipschitz-Hankel integrals of Anger and Weber functions

Cites Work

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• Incomplete Weber integrals of cylindrical functions
• A note on incomplete integrals of cylindrical functions
• Expansion formulas for generalized hypergeometric functions
• Reduction formulae for Kampé de Fériet functions \(F^{p:2;1}_{q:1;0}\)
• Reduction and summation formulae for certain classes of generalised multiple hypergeometric series arising in physical and quantum chemical applications
• Theory of Incomplete Cylindrical Functions and their Applications
• Generating Functions for Bessel and Related Polynomials

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